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Chapter 4: Q. 17 (page 106)

A baseball player friend of yours wants to determine his pitching speed. You have him stand on a ledge and throw the ball horizontally from an elevation 4.0mabove the ground. The ball lands 25maway. What is his pitching speed?

Short Answer

Expert verified

The pitching speed of the person is27.67m/s

Step by step solution

01

Step 1. Given information

The ball is thrown from an elevated4.0mabove the ground, the ball lands in 25maway.

02

Step 2. Explanation

The period of flight of the ball is

y=uyt−12at2

y is the vertical height from the ground, is the vertical component of the velocity of the ball, and a is the acceleration due to gravity.

(−4.0m)=(0m/s)t−12(9.8m/s)t2t=2(−4.0m)(9.8m/s)t=0.9035s

Thus, the period of flight of the ball is 0.9035s.

The horizontal distance travelled by the ball isx=uxt

Here, x is the horizontal distance travelled by the ball, is the initial speed of the ball in horizontal direction, and t is the duration of flight.

(25m)=ux(0.9035s)ux=27.67m/s

Therefore, the pitching speed of the person is27.67m/s

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